{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:GOVXJDQIVZZVHH4TCFN37TNRUH","short_pith_number":"pith:GOVXJDQI","canonical_record":{"source":{"id":"2502.04304","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SG","submitted_at":"2025-02-06T18:44:42Z","cross_cats_sorted":[],"title_canon_sha256":"fdb41e1377cd5ce1de07d5cbb882e886ca4f029e7042b4cf2f3ded3e5bb334d3","abstract_canon_sha256":"cbbc6cf5dd91a35fd635aaf4cb249d5ab871e27bbb5b784253f83d907f79d508"},"schema_version":"1.0"},"canonical_sha256":"33ab748e08ae73539f93115bbfcdb1a1f93b5efa7958feff75828f0b1e8ec8bc","source":{"kind":"arxiv","id":"2502.04304","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.04304","created_at":"2026-05-29T02:04:52Z"},{"alias_kind":"arxiv_version","alias_value":"2502.04304v3","created_at":"2026-05-29T02:04:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.04304","created_at":"2026-05-29T02:04:52Z"},{"alias_kind":"pith_short_12","alias_value":"GOVXJDQIVZZV","created_at":"2026-05-29T02:04:52Z"},{"alias_kind":"pith_short_16","alias_value":"GOVXJDQIVZZVHH4T","created_at":"2026-05-29T02:04:52Z"},{"alias_kind":"pith_short_8","alias_value":"GOVXJDQI","created_at":"2026-05-29T02:04:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:GOVXJDQIVZZVHH4TCFN37TNRUH","target":"record","payload":{"canonical_record":{"source":{"id":"2502.04304","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SG","submitted_at":"2025-02-06T18:44:42Z","cross_cats_sorted":[],"title_canon_sha256":"fdb41e1377cd5ce1de07d5cbb882e886ca4f029e7042b4cf2f3ded3e5bb334d3","abstract_canon_sha256":"cbbc6cf5dd91a35fd635aaf4cb249d5ab871e27bbb5b784253f83d907f79d508"},"schema_version":"1.0"},"canonical_sha256":"33ab748e08ae73539f93115bbfcdb1a1f93b5efa7958feff75828f0b1e8ec8bc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-29T02:04:52.295114Z","signature_b64":"UmGT08hUFjBWkln+Y9UkQBa3xkOFnuNa02ftEIgD3N/0bF1RZ/e8VP9fgKFm8FQn4BIVFAWr8oeHDyErr9JrBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"33ab748e08ae73539f93115bbfcdb1a1f93b5efa7958feff75828f0b1e8ec8bc","last_reissued_at":"2026-05-29T02:04:52.294374Z","signature_status":"signed_v1","first_computed_at":"2026-05-29T02:04:52.294374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.04304","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-29T02:04:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XBr4QsKPASqk8sx8UrQqs8eiU/M9L0lvVlcYwDOS9km9AZCG5eyLNX6zz4krtTFYuLiyiC4GW+ZLdjhxtwVEBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T18:52:16.302059Z"},"content_sha256":"f688b35f463f78fc17f326312d9585380729285c08ccfb456fa42f09605e4c77","schema_version":"1.0","event_id":"sha256:f688b35f463f78fc17f326312d9585380729285c08ccfb456fa42f09605e4c77"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:GOVXJDQIVZZVHH4TCFN37TNRUH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Almost toric fibrations on K3 surfaces via degenerations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Pranav Chakravarthy, Yoel Groman","submitted_at":"2025-02-06T18:44:42Z","abstract_excerpt":"For K\\\"ahler K3 surfaces we consider Kulikov models of type III tamed by a symplectic form. Our main result shows that the generic smooth fiber admits an almost toric fibration over the intersection complex, which inherits a natural nodal integral affine structure from almost toric fibrations of the boundary divisors. We prove that a smooth anti-canonical hypersurface in a smooth toric Fano threefold, equipped with a toric K\\\"ahler form, admits a symplectic Kulikov model. Moreover, we demonstrate that the induced integral affine structure on the intersection complex is integral affine isomorph"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.04304","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2502.04304/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-29T02:04:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O2lHrTjOkbNh1OfwluF4C8OGuWNeh520TERAv05NXeC0e0UeLNJWDcTRF0pUZd3b6DMrmqTdgygU9pWctwuDDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T18:52:16.303070Z"},"content_sha256":"48913d0290ec7c5059a649057c821e45bffe6fddde74bf82ef240bf41a4e12de","schema_version":"1.0","event_id":"sha256:48913d0290ec7c5059a649057c821e45bffe6fddde74bf82ef240bf41a4e12de"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GOVXJDQIVZZVHH4TCFN37TNRUH/bundle.json","state_url":"https://pith.science/pith/GOVXJDQIVZZVHH4TCFN37TNRUH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GOVXJDQIVZZVHH4TCFN37TNRUH/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-19T18:52:16Z","links":{"resolver":"https://pith.science/pith/GOVXJDQIVZZVHH4TCFN37TNRUH","bundle":"https://pith.science/pith/GOVXJDQIVZZVHH4TCFN37TNRUH/bundle.json","state":"https://pith.science/pith/GOVXJDQIVZZVHH4TCFN37TNRUH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GOVXJDQIVZZVHH4TCFN37TNRUH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:GOVXJDQIVZZVHH4TCFN37TNRUH","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"cbbc6cf5dd91a35fd635aaf4cb249d5ab871e27bbb5b784253f83d907f79d508","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SG","submitted_at":"2025-02-06T18:44:42Z","title_canon_sha256":"fdb41e1377cd5ce1de07d5cbb882e886ca4f029e7042b4cf2f3ded3e5bb334d3"},"schema_version":"1.0","source":{"id":"2502.04304","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.04304","created_at":"2026-05-29T02:04:52Z"},{"alias_kind":"arxiv_version","alias_value":"2502.04304v3","created_at":"2026-05-29T02:04:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.04304","created_at":"2026-05-29T02:04:52Z"},{"alias_kind":"pith_short_12","alias_value":"GOVXJDQIVZZV","created_at":"2026-05-29T02:04:52Z"},{"alias_kind":"pith_short_16","alias_value":"GOVXJDQIVZZVHH4T","created_at":"2026-05-29T02:04:52Z"},{"alias_kind":"pith_short_8","alias_value":"GOVXJDQI","created_at":"2026-05-29T02:04:52Z"}],"graph_snapshots":[{"event_id":"sha256:48913d0290ec7c5059a649057c821e45bffe6fddde74bf82ef240bf41a4e12de","target":"graph","created_at":"2026-05-29T02:04:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2502.04304/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For K\\\"ahler K3 surfaces we consider Kulikov models of type III tamed by a symplectic form. Our main result shows that the generic smooth fiber admits an almost toric fibration over the intersection complex, which inherits a natural nodal integral affine structure from almost toric fibrations of the boundary divisors. We prove that a smooth anti-canonical hypersurface in a smooth toric Fano threefold, equipped with a toric K\\\"ahler form, admits a symplectic Kulikov model. Moreover, we demonstrate that the induced integral affine structure on the intersection complex is integral affine isomorph","authors_text":"Pranav Chakravarthy, Yoel Groman","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SG","submitted_at":"2025-02-06T18:44:42Z","title":"Almost toric fibrations on K3 surfaces via degenerations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.04304","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:f688b35f463f78fc17f326312d9585380729285c08ccfb456fa42f09605e4c77","target":"record","created_at":"2026-05-29T02:04:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"cbbc6cf5dd91a35fd635aaf4cb249d5ab871e27bbb5b784253f83d907f79d508","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SG","submitted_at":"2025-02-06T18:44:42Z","title_canon_sha256":"fdb41e1377cd5ce1de07d5cbb882e886ca4f029e7042b4cf2f3ded3e5bb334d3"},"schema_version":"1.0","source":{"id":"2502.04304","kind":"arxiv","version":3}},"canonical_sha256":"33ab748e08ae73539f93115bbfcdb1a1f93b5efa7958feff75828f0b1e8ec8bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"33ab748e08ae73539f93115bbfcdb1a1f93b5efa7958feff75828f0b1e8ec8bc","first_computed_at":"2026-05-29T02:04:52.294374Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-29T02:04:52.294374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UmGT08hUFjBWkln+Y9UkQBa3xkOFnuNa02ftEIgD3N/0bF1RZ/e8VP9fgKFm8FQn4BIVFAWr8oeHDyErr9JrBA==","signature_status":"signed_v1","signed_at":"2026-05-29T02:04:52.295114Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.04304","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f688b35f463f78fc17f326312d9585380729285c08ccfb456fa42f09605e4c77","sha256:48913d0290ec7c5059a649057c821e45bffe6fddde74bf82ef240bf41a4e12de"],"state_sha256":"2fac20b8dbb40fbd364823a08941dc0144e47a8f6653edb1b448a3d354f6e0eb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zmTudEx5ygdix/eJXN06giIalo6gjJh3P3930k+fvoE2shpwHGDkXaf+OrYh2hC4DbW6mCKe65kSaERSgxcSBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T18:52:16.312061Z","bundle_sha256":"4f39e73098d462bcc1c39185b9d084b0d20a8fb2248f5a165e26812385885487"}}